Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 220

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. ER ACTFONUM
  2. aD. XT IV
  3. empe Fractionis Mulcipticandae, Numerator in MumeratOret, CCHOMMHAIOL
  4. in Benominatorem Mulciplicantis ducatur; tractionis aurem Diridenda, Nume-
  5. racor in diridentis Denominatorem, ee Denominator in Numeratorem. (Ouod
  6. C Breriter enunciat Ougheredus, Mulsiplicatio comparat heterolosos terminos, e
  7. multiplicat Bomolocos: Divisio comparat homoboees, e multiplicat Beteroloeos.)
  8. Sic E Fractio , in 53 ducenda Lit: Reducta prius , 8 ad 3; comparo adhuc 2 nu-
  9. meratorem prioris, ec 32 denominatorem polterioris, proque iIlis lubltituo rdt 16:
  10. cum etiam PrO O denOIatOTC PEIOTIS, _ 25 . P
  11. 3e5. Ldeoque randem 18.
  12. Similiter, s dividenda Fractio 18 = 3, Per 2 55 = 33: operatio sic procedet.
  13. Operatio-
  14. num in
  15. fractis hac Sgnopli conspiciendum Labstetmus.
  16. Synopsisi
  17. Totum icaque cum Acdicionis e Subductionis, cum Mulciplicationis et Divisio.
  18. numeris nis negocium, in numeris Practis; duobus his capicibus absolrimus. Quod breri
  19. Adao a Subduetio.
  20. eB = ab
  21. Mulciplicatio.
  22. Dirito.
  23. a A P. ZL IV.
  24. De Fractionum Reductionibus variis. Impropriae fractio.
  25. nis ad numerum interrum vel mistum reductio: e
  26. contra. Reductio ad minimos terminos: Ad commu-
  27. nem Denominatorem: Ad Denominatorem datum:
  28. Ad communem datumve Numeratorem. De fractio.
  29. num fractionibus reducendis. De fractionibus Sevare-
  30. nariis Decimalibus, tum ad invicem, tum ad fra-
  31. ctiones ordinarias reducendis.
  32. om eadem quoad ralorem tractio, mille modis delisnari pollic, uti luverine
  33. cradicum elb: F. pedir nonnunguam ex una in aliam torman tractiones crans.
  34. MUtare;
  35. de l
  36. Dei
  37. eom

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 220. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0240?run=74